%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD054-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:49:15 AM UTC 2026
% Result : Unsatisfiable 7.21s 1.89s
% Output : Refutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 89 ( 77 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 60 ( 33 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| product(X0,X1,X2)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X6,X2)
| ~ sum(X3,X4,X5)
| sum(X0,X1,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X4,X1,X6)
| ~ sum(X3,X4,X0)
| ~ product(X3,X1,X5)
| product(X0,X1,X2)
| ~ sum(X5,X6,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_2) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
fof(f30,axiom,
defined(k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_is_defined) ).
fof(f31,axiom,
defined(l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_is_defined) ).
fof(f32,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_6) ).
fof(f33,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f34,negated_conjecture,
sum(multiplicative_inverse(a),multiplicative_inverse(b),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_8) ).
fof(f35,negated_conjecture,
sum(a,b,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_9) ).
fof(f36,negated_conjecture,
product(a,b,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).
fof(f37,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_11) ).
fof(f38,plain,
sum(b,a,k),
inference(unit_resulting_resolution,[],[f5,f35]) ).
fof(f42,plain,
product(b,a,l),
inference(unit_resulting_resolution,[],[f10,f36]) ).
fof(f43,plain,
~ product(multiplicative_inverse(l),k,u),
inference(unit_resulting_resolution,[],[f10,f37]) ).
fof(f45,plain,
~ sum(b,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f5,f33]) ).
fof(f47,plain,
sum(additive_identity,l,l),
inference(unit_resulting_resolution,[],[f3,f31]) ).
fof(f49,plain,
sum(additive_inverse(l),l,additive_identity),
inference(unit_resulting_resolution,[],[f4,f31]) ).
fof(f50,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f4,f27]) ).
fof(f51,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f8,f27]) ).
fof(f52,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f53,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f32,f27]) ).
fof(f62,plain,
product(multiplicative_identity,b,b),
inference(unit_resulting_resolution,[],[f8,f28]) ).
fof(f63,plain,
sum(additive_identity,b,b),
inference(unit_resulting_resolution,[],[f3,f28]) ).
fof(f64,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f33,f28]) ).
fof(f65,plain,
product(multiplicative_inverse(b),l,a),
inference(unit_resulting_resolution,[],[f6,f51,f42,f64]) ).
fof(f66,plain,
product(b,multiplicative_inverse(b),multiplicative_identity),
inference(unit_resulting_resolution,[],[f10,f64]) ).
fof(f68,plain,
product(l,multiplicative_inverse(b),a),
inference(unit_resulting_resolution,[],[f10,f65]) ).
fof(f70,plain,
product(multiplicative_inverse(a),l,b),
inference(unit_resulting_resolution,[],[f6,f36,f53,f62]) ).
fof(f71,plain,
product(b,multiplicative_identity,b),
inference(unit_resulting_resolution,[],[f10,f62]) ).
fof(f74,plain,
product(l,multiplicative_inverse(a),b),
inference(unit_resulting_resolution,[],[f10,f70]) ).
fof(f75,plain,
product(u,l,k),
inference(unit_resulting_resolution,[],[f12,f38,f65,f34,f70]) ).
fof(f77,plain,
product(l,u,k),
inference(unit_resulting_resolution,[],[f10,f75]) ).
fof(f81,plain,
product(l,multiplicative_identity,l),
inference(unit_resulting_resolution,[],[f6,f42,f53,f74]) ).
fof(f88,plain,
product(k,multiplicative_identity,k),
inference(unit_resulting_resolution,[],[f7,f75,f75,f81]) ).
fof(f108,plain,
sum(additive_identity,k,k),
inference(unit_resulting_resolution,[],[f1,f38,f38,f63]) ).
fof(f111,plain,
sum(k,additive_identity,k),
inference(unit_resulting_resolution,[],[f5,f108]) ).
fof(f146,plain,
sum(a,additive_identity,a),
inference(unit_resulting_resolution,[],[f5,f52]) ).
fof(f147,plain,
sum(additive_inverse(k),k,additive_identity),
inference(unit_resulting_resolution,[],[f4,f30]) ).
fof(f164,plain,
sum(additive_inverse(u),u,additive_identity),
inference(unit_resulting_resolution,[],[f4,f29]) ).
fof(f165,plain,
product(multiplicative_identity,u,u),
inference(unit_resulting_resolution,[],[f8,f29]) ).
fof(f166,plain,
sum(additive_identity,u,u),
inference(unit_resulting_resolution,[],[f3,f29]) ).
fof(f172,plain,
product(u,multiplicative_identity,u),
inference(unit_resulting_resolution,[],[f10,f165]) ).
fof(f184,plain,
~ product(multiplicative_inverse(l),l,multiplicative_identity),
inference(unit_resulting_resolution,[],[f6,f165,f77,f43]) ).
fof(f190,plain,
sum(l,additive_inverse(l),additive_identity),
inference(unit_resulting_resolution,[],[f5,f49]) ).
fof(f221,plain,
sum(additive_inverse(a),k,b),
inference(unit_resulting_resolution,[],[f1,f63,f35,f50]) ).
fof(f224,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f2,f146,f50,f50]) ).
fof(f251,plain,
sum(k,additive_inverse(k),additive_identity),
inference(unit_resulting_resolution,[],[f5,f147]) ).
fof(f268,plain,
sum(k,additive_inverse(a),b),
inference(unit_resulting_resolution,[],[f5,f221]) ).
fof(f326,plain,
sum(u,additive_inverse(u),additive_identity),
inference(unit_resulting_resolution,[],[f5,f164]) ).
fof(f456,plain,
sum(additive_identity,l,additive_identity),
inference(unit_resulting_resolution,[],[f9,f31,f184]) ).
fof(f487,plain,
sum(l,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f49,f190,f456]) ).
fof(f499,plain,
sum(k,l,k),
inference(unit_resulting_resolution,[],[f2,f111,f111,f456]) ).
fof(f527,plain,
sum(l,k,k),
inference(unit_resulting_resolution,[],[f5,f499]) ).
fof(f533,plain,
sum(l,b,b),
inference(unit_resulting_resolution,[],[f1,f268,f268,f527]) ).
fof(f577,plain,
sum(a,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f11,f66,f68,f66,f533]) ).
fof(f654,plain,
sum(l,l,additive_identity),
inference(unit_resulting_resolution,[],[f1,f47,f456,f487]) ).
fof(f787,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f654,f81,f81,f654]) ).
fof(f847,plain,
product(additive_identity,multiplicative_identity,l),
inference(unit_resulting_resolution,[],[f12,f47,f81,f456,f787]) ).
fof(f858,plain,
product(additive_identity,u,k),
inference(unit_resulting_resolution,[],[f6,f165,f77,f847]) ).
fof(f914,plain,
sum(k,k,k),
inference(unit_resulting_resolution,[],[f11,f858,f858,f224,f858]) ).
fof(f937,plain,
sum(k,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f1,f251,f251,f914]) ).
fof(f1106,plain,
product(additive_identity,multiplicative_identity,k),
inference(unit_resulting_resolution,[],[f12,f111,f88,f787,f937]) ).
fof(f1109,plain,
product(k,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f12,f111,f787,f88,f937]) ).
fof(f1114,plain,
product(additive_identity,u,additive_identity),
inference(unit_resulting_resolution,[],[f6,f172,f858,f1109]) ).
fof(f1318,plain,
product(l,multiplicative_identity,k),
inference(unit_resulting_resolution,[],[f12,f499,f81,f47,f1106]) ).
fof(f2657,plain,
product(a,b,k),
inference(unit_resulting_resolution,[],[f6,f71,f36,f1318]) ).
fof(f2799,plain,
product(a,b,additive_identity),
inference(unit_resulting_resolution,[],[f6,f71,f1109,f2657]) ).
fof(f3051,plain,
product(multiplicative_inverse(a),additive_identity,b),
inference(unit_resulting_resolution,[],[f6,f62,f53,f2799]) ).
fof(f5456,plain,
product(b,u,b),
inference(unit_resulting_resolution,[],[f7,f1114,f3051,f3051]) ).
fof(f5505,plain,
product(u,b,b),
inference(unit_resulting_resolution,[],[f10,f5456]) ).
fof(f5568,plain,
product(u,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f6,f66,f66,f5505]) ).
fof(f5663,plain,
sum(k,u,multiplicative_identity),
inference(unit_resulting_resolution,[],[f11,f172,f1106,f166,f5568]) ).
fof(f5717,plain,
sum(k,multiplicative_identity,u),
inference(unit_resulting_resolution,[],[f11,f172,f1106,f166,f5568]) ).
fof(f5830,plain,
sum(multiplicative_identity,additive_inverse(u),additive_identity),
inference(unit_resulting_resolution,[],[f2,f937,f326,f5663]) ).
fof(f5879,plain,
sum(b,multiplicative_identity,u),
inference(unit_resulting_resolution,[],[f1,f577,f38,f5717]) ).
fof(f6067,plain,
~ sum(multiplicative_identity,additive_inverse(u),additive_identity),
inference(unit_resulting_resolution,[],[f1,f45,f326,f5879]) ).
fof(f6101,plain,
$false,
inference(forward_subsumption_resolution,[],[f6067,f5830]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD054-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n020.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 00:43:20 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.21/1.89 % (736560)Input is clausal, will run a generic CNF schedule.
% 7.21/1.89 % (736567)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3120506873:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.21/1.89 % (736571)dis-21_1_sil=8000:lcm=predicate:random_seed=2482945319:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.21/1.89 % (736569)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2360384296:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.21/1.89 % (736566)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=354355067:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.21/1.89 % (736568)lrs+10_1_sil=8000:sp=occurrence:random_seed=1249372906:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.21/1.89 % (736570)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1360303478:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.21/1.89 % (736565)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=741513477:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.21/1.89 % (736569)Instruction limit reached!
% 7.21/1.89 % (736569)------------------------------
% 7.21/1.89 % (736569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736569)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736569)Termination reason: Instruction limit
% 7.21/1.89 % (736569)Termination phase: Saturation
% 7.21/1.89 % (736569)Time elapsed: 0.064 s
% 7.21/1.89 % (736569)Peak memory usage: 88 MB
% 7.21/1.89 % (736569)Instructions burned: 116 (million)
% 7.21/1.89 % (736568)Instruction limit reached!
% 7.21/1.89 % (736568)------------------------------
% 7.21/1.89 % (736568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736568)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736568)Termination reason: Instruction limit
% 7.21/1.89 % (736568)Termination phase: Saturation
% 7.21/1.89 % (736568)Time elapsed: 0.068 s
% 7.21/1.89 % (736568)Peak memory usage: 88 MB
% 7.21/1.89 % (736568)Instructions burned: 107 (million)
% 7.21/1.89 % (736571)Instruction limit reached!
% 7.21/1.89 % (736571)------------------------------
% 7.21/1.89 % (736571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736571)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736571)Termination reason: Instruction limit
% 7.21/1.89 % (736571)Termination phase: Saturation
% 7.21/1.89 % (736571)Time elapsed: 0.071 s
% 7.21/1.89 % (736571)Peak memory usage: 89 MB
% 7.21/1.89 % (736571)Instructions burned: 117 (million)
% 7.21/1.89 % (736570)Instruction limit reached!
% 7.21/1.89 % (736570)------------------------------
% 7.21/1.89 % (736570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736570)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736570)Termination reason: Instruction limit
% 7.21/1.89 % (736570)Termination phase: Saturation
% 7.21/1.89 % (736570)Time elapsed: 0.100 s
% 7.21/1.89 % (736570)Peak memory usage: 88 MB
% 7.21/1.89 % (736570)Instructions burned: 180 (million)
% 7.21/1.89 % (736579)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2101100748:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.21/1.89 % (736580)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2463678911:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.21/1.89 % (736581)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2480493677:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.21/1.89 % (736582)lrs+10_64_to=lpo:sil=8000:random_seed=3075044860:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.21/1.89 % (736579)Instruction limit reached!
% 7.21/1.89 % (736579)------------------------------
% 7.21/1.89 % (736579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736579)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736579)Termination reason: Instruction limit
% 7.21/1.89 % (736579)Termination phase: Saturation
% 7.21/1.89 % (736579)Time elapsed: 0.088 s
% 7.21/1.89 % (736579)Peak memory usage: 89 MB
% 7.21/1.89 % (736579)Instructions burned: 143 (million)
% 7.21/1.89 % (736580)Instruction limit reached!
% 7.21/1.89 % (736580)------------------------------
% 7.21/1.89 % (736580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736580)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736580)Termination reason: Instruction limit
% 7.21/1.89 % (736580)Termination phase: Saturation
% 7.21/1.89 % (736580)Time elapsed: 0.092 s
% 7.21/1.89 % (736580)Peak memory usage: 88 MB
% 7.21/1.89 % (736580)Instructions burned: 191 (million)
% 7.21/1.89 % (736582)Instruction limit reached!
% 7.21/1.89 % (736582)------------------------------
% 7.21/1.89 % (736582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736582)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736582)Termination reason: Instruction limit
% 7.21/1.89 % (736582)Termination phase: Saturation
% 7.21/1.89 % (736582)Time elapsed: 0.070 s
% 7.21/1.89 % (736582)Peak memory usage: 89 MB
% 7.21/1.89 % (736582)Instructions burned: 127 (million)
% 7.21/1.89 % (736581)Instruction limit reached!
% 7.21/1.89 % (736581)------------------------------
% 7.21/1.89 % (736581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736581)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736581)Termination reason: Instruction limit
% 7.21/1.89 % (736581)Termination phase: Saturation
% 7.21/1.89 % (736581)Time elapsed: 0.133 s
% 7.21/1.89 % (736581)Peak memory usage: 89 MB
% 7.21/1.89 % (736581)Instructions burned: 219 (million)
% 7.21/1.89 % (736587)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3315331807:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.21/1.89 % (736588)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=776559850:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.21/1.89 % (736589)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3378229863:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.21/1.89 % (736590)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2693415876:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.21/1.89 % (736588)Instruction limit reached!
% 7.21/1.89 % (736588)------------------------------
% 7.21/1.89 % (736588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736588)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736588)Termination reason: Instruction limit
% 7.21/1.89 % (736588)Termination phase: Saturation
% 7.21/1.89 % (736588)Time elapsed: 0.107 s
% 7.21/1.89 % (736588)Peak memory usage: 90 MB
% 7.21/1.89 % (736588)Instructions burned: 157 (million)
% 7.21/1.89 % (736590)Instruction limit reached!
% 7.21/1.89 % (736590)------------------------------
% 7.21/1.89 % (736590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736590)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736590)Termination reason: Instruction limit
% 7.21/1.89 % (736590)Termination phase: Saturation
% 7.21/1.89 % (736590)Time elapsed: 0.056 s
% 7.21/1.89 % (736590)Peak memory usage: 89 MB
% 7.21/1.89 % (736590)Instructions burned: 107 (million)
% 7.21/1.89 % (736587)Instruction limit reached!
% 7.21/1.89 % (736587)------------------------------
% 7.21/1.89 % (736587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736587)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736587)Termination reason: Instruction limit
% 7.21/1.89 % (736587)Termination phase: Saturation
% 7.21/1.89 % (736587)Time elapsed: 0.137 s
% 7.21/1.89 % (736587)Peak memory usage: 89 MB
% 7.21/1.89 % (736587)Instructions burned: 195 (million)
% 7.21/1.89 % (736595)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3083603588:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.21/1.89 % (736596)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=172889572:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.21/1.89 % (736597)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3290307524:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.21/1.89 % (736595)Instruction limit reached!
% 7.21/1.89 % (736595)------------------------------
% 7.21/1.89 % (736595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736595)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736595)Termination reason: Instruction limit
% 7.21/1.89 % (736595)Termination phase: Saturation
% 7.21/1.89 % (736595)Time elapsed: 0.061 s
% 7.21/1.89 % (736595)Peak memory usage: 89 MB
% 7.21/1.89 % (736595)Instructions burned: 107 (million)
% 7.21/1.89 % (736596)Instruction limit reached!
% 7.21/1.89 % (736596)------------------------------
% 7.21/1.89 % (736596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736596)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736596)Termination reason: Instruction limit
% 7.21/1.89 % (736596)Termination phase: Saturation
% 7.21/1.89 % (736596)Time elapsed: 0.155 s
% 7.21/1.89 % (736596)Peak memory usage: 89 MB
% 7.21/1.89 % (736596)Instructions burned: 242 (million)
% 7.21/1.89 % (736601)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1040612543:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.21/1.89 % (736566)First to succeed.
% 7.21/1.89 % (736566)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-736560"
% 7.21/1.89 % (736601)Instruction limit reached!
% 7.21/1.89 % (736601)------------------------------
% 7.21/1.89 % (736601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.89 % (736601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.89 % (736601)CaDiCaL version: 2.1.3
% 7.21/1.89 % (736601)Termination reason: Instruction limit
% 7.21/1.89 % (736601)Termination phase: Saturation
% 7.21/1.89 % (736601)Time elapsed: 0.088 s
% 7.21/1.89 % (736601)Peak memory usage: 89 MB
% 7.21/1.89 % (736601)Instructions burned: 134 (million)
% 7.21/1.89 % (736602)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2063737753:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.21/1.89 % (736604)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2018392945:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 7.21/1.89 % (736566)Refutation found. Thanks to Tanya!
% 7.21/1.89 % SZS status Unsatisfiable for theBenchmark
% 7.21/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 9.43/2.08 % (736566)------------------------------
% 9.43/2.08 % (736566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.08 % (736566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.08 % (736566)CaDiCaL version: 2.1.3
% 9.43/2.08 % (736566)Termination reason: Refutation
% 9.43/2.08 % (736566)Time elapsed: 0.837 s
% 9.43/2.08 % (736566)Peak memory usage: 129 MB
% 9.43/2.08 % (736566)Instructions burned: 1327 (million)
% 9.43/2.08 % (736566)------------------------------
% 9.43/2.08 % (736566)------------------------------
% 9.43/2.08 % (736560)Success in time 1.252 s
% 9.43/2.08 % Vampire exiting
%------------------------------------------------------------------------------